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Question
Solve:
`(x + 2)/6 - ((11 - x)/3 - 1/4) = (3x - 4)/12`
Solution
`"x" + 2/6 - 11 - "x"/3 - 1/4 = 3"x" - 4/12`
`=> ("x" + 2)/6 - (4(11 - x) - 1 xx 3)/12 = (3"x" - 4)/12`
`=> ("x" + 2)/6 - (44 + 4x + 3)/12 = (3"x" - 4)/12`
`=> (2("x" + 2) - 41 + 4"x")/12 = (3"x" - 4)/12`
`=> (2"x" + 4 - 41 + 4"x")/12 = (3"x" - 4)/12`
`=> (6"x" - 37)/12 = (3"x" - 4)/12`
⇒ 12(6x − 37) = 12(3x − 4)
⇒ 72x − 444 = 36x − 48
⇒ 72x − 36x = −48 + 444
⇒ 36x = 396
⇒ x = `396/36 = 11`
∴ x = 11
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